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Finding the Third Proportional to 370,412 and 796,048

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Solution

The third proportional to 370,412 and 796,048 is: 1,710,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,412 : 796,048 = 796,048 : x
  2. Step 2: Convert to fraction form
    370,412/796,048 = 796,048/x
  3. Step 3: Cross multiply
    370,412x = 796,048 × 796,048
  4. Step 4: Simplify right side
    370,412x = 633,692,418,304
  5. Step 5: Solve for x
    x = 633,692,418,304/370,412
  6. Step 6: Final answer
    x = 1,710,777.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.